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Simplifying 2(a + 4) = 8a + 32 Reorder the terms: 2(4 + a) = 8a + 32 (4 * 2 + a * 2) = 8a + 32 (8 + 2a) = 8a + 32 Reorder the terms: 8 + 2a = 32 + 8a Solving 8 + 2a = 32 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 8 + 2a + -8a = 32 + 8a + -8a Combine like terms: 2a + -8a = -6a 8 + -6a = 32 + 8a + -8a Combine like terms: 8a + -8a = 0 8 + -6a = 32 + 0 8 + -6a = 32 Add '-8' to each side of the equation. 8 + -8 + -6a = 32 + -8 Combine like terms: 8 + -8 = 0 0 + -6a = 32 + -8 -6a = 32 + -8 Combine like terms: 32 + -8 = 24 -6a = 24 Divide each side by '-6'. a = -4 Simplifying a = -4
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